Problem #PRU-116589

Problems Algebra and arithmetic Number theory. Divisibility Divisibility of a number. General properties Sequences Recurrent relations Linear recurrent relations Calculus Number sequences Number sequences (other)
 13–15  3.0

Problem

The sequence of numbers \(a_1, a_2, \dots\) is given by the conditions \(a_1 = 1\), \(a_2 = 143\) and

for all \(n \geq 2\).

Prove that all members of the sequence are integers.